Weakly nonlinear ion-sound waves in inhomogeneous electron temperature, magnetized plasmas

Physics – Geophysics

Scientific paper

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[2471] Ionosphere / Plasma Waves And Instabilities, [2487] Ionosphere / Wave Propagation, [4455] Nonlinear Geophysics / Nonlinear Waves, Shock Waves, Solitons

Scientific paper

Low frequency electrostatic waves are studied in magnetized plasmas for the case where the electron temperature varies with position in a direction perpendicular to the magnetic field. We analyze guided waves with characteristic frequencies below the ion cyclotron and ion plasma frequencies. A Korteweg-deVries equation is derived for the weakly nonlinear waves, and the results compared to numerical simulations. We study two different models for the electron distribution: one where the electrons are assumed to be in local Boltzmann equilibrium at all times, while the other model assumes a nonthermal-distribution for the electrons. The nonlinear space-time evolution of the electrostatic potential differs for the two cases.

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